9609504 has 48 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 3098880.

The previous prime is 9609503. The next prime is 9609517. The reversal of 9609504 is 4059069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

9609504 is a modest number, since divided by 9504 gives 960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9609503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362 + ... + 4590.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 2^9609504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

9609504 is an abundant number, since it is smaller than the sum of its proper divisors (16437216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9609504 is a wasteful number, since it uses less digits than its factorization.

9609504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9609504 is about 3099.9199989677. The cubic root of 9609504 is about 212.6018261701.

The spelling of 9609504 in words is "nine million, six hundred nine thousand, five hundred four".